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Simplifying 6(5x + 4) + 2(3x + -7) + -5(7x + -4) = 0 Reorder the terms: 6(4 + 5x) + 2(3x + -7) + -5(7x + -4) = 0 (4 * 6 + 5x * 6) + 2(3x + -7) + -5(7x + -4) = 0 (24 + 30x) + 2(3x + -7) + -5(7x + -4) = 0 Reorder the terms: 24 + 30x + 2(-7 + 3x) + -5(7x + -4) = 0 24 + 30x + (-7 * 2 + 3x * 2) + -5(7x + -4) = 0 24 + 30x + (-14 + 6x) + -5(7x + -4) = 0 Reorder the terms: 24 + 30x + -14 + 6x + -5(-4 + 7x) = 0 24 + 30x + -14 + 6x + (-4 * -5 + 7x * -5) = 0 24 + 30x + -14 + 6x + (20 + -35x) = 0 Reorder the terms: 24 + -14 + 20 + 30x + 6x + -35x = 0 Combine like terms: 24 + -14 = 10 10 + 20 + 30x + 6x + -35x = 0 Combine like terms: 10 + 20 = 30 30 + 30x + 6x + -35x = 0 Combine like terms: 30x + 6x = 36x 30 + 36x + -35x = 0 Combine like terms: 36x + -35x = 1x 30 + 1x = 0 Solving 30 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 0 + -30 1x = 0 + -30 Combine like terms: 0 + -30 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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